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Kinematics

Problem 1.33

A cannon fires successively two shells with velocity v0v_{0} =250 m/s;=250 \mathrm{~m} / \mathrm{s} ; the first at the angle θ1=60∘\theta_{1}=60^{\circ} and the second at the angle θ2=45∘\theta_{2}=45^{\circ} to the horizontal, the azimuth being the same. Neglecting the air drag, find the time interval between firings leading to the collision of the shells.

Reveal Answer
Δt=2v0gsin⁡(θ1−θ2)cos⁡θ1+cos⁡θ2=11 s\Delta t=\frac{2 v_{0}}{g} \frac{\sin \left(\theta_{1}-\theta_{2}\right)}{\cos \theta_{1}+\cos \theta_{2}}=11 \mathrm{~s}
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